378 lines
10 KiB
C
378 lines
10 KiB
C
/***************************************************************************
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Copyright (c) 2017, The OpenBLAS Project
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All rights reserved.
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Redistribution and use in source and binary forms, with or without
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modification, are permitted provided that the following conditions are
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met:
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1. Redistributions of source code must retain the above copyright
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notice, this list of conditions and the following disclaimer.
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2. Redistributions in binary form must reproduce the above copyright
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notice, this list of conditions and the following disclaimer in
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the documentation and/or other materials provided with the
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distribution.
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3. Neither the name of the OpenBLAS project nor the names of
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its contributors may be used to endorse or promote products
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derived from this software without specific prior written permission.
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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ARE DISCLAIMED. IN NO EVENT SHALL THE OPENBLAS PROJECT OR CONTRIBUTORS BE
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LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
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SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
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OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
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USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*****************************************************************************/
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#include "common.h"
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#define N "x0" /* vector length */
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#define X "x1" /* "X" vector address */
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#define INC_X "x2" /* "X" stride */
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#define INDEX "x3" /* index of max/min value */
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#define Z "x4" /* vector index */
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#define J "x5" /* loop variable */
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#if !defined(DOUBLE)
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#define MAXF "s0"
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#define TMPF0 "s1"
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#define TMPF1 "s4"
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#define N_KERNEL_SIZE "64"
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#define SZ "4"
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#define N_DIV_SHIFT "6"
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#define N_REM_MASK "63"
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#define INC_SHIFT "2"
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#else
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#define MAXF "d0"
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#define TMPF0 "d1"
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#define TMPF1 "d4"
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#define N_KERNEL_SIZE "32"
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#define SZ "8"
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#define N_DIV_SHIFT "5"
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#define N_REM_MASK "31"
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#define INC_SHIFT "3"
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#endif
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/******************************************************************************/
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#if !defined(DOUBLE)
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#define KERNEL_F \
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"ldp q2, q3, ["X"] \n" \
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"ldp q4, q5, ["X", #32] \n" \
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"ldp q6, q7, ["X", #64] \n" \
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"ldp q16, q17, ["X", #96] \n" \
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"ldp q18, q19, ["X", #128] \n" \
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"ldp q20, q21, ["X", #160] \n" \
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"ldp q22, q23, ["X", #192] \n" \
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"ldp q24, q25, ["X", #224] \n" \
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"add "X", "X", #256 \n" \
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"fabs v2.4s, v2.4s \n" \
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"fabs v3.4s, v3.4s \n" \
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"fabs v4.4s, v4.4s \n" \
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"fabs v5.4s, v5.4s \n" \
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"fabs v6.4s, v6.4s \n" \
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"fabs v7.4s, v7.4s \n" \
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"fabs v16.4s, v16.4s \n" \
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"fabs v17.4s, v17.4s \n" \
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"fabs v18.4s, v18.4s \n" \
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"fabs v19.4s, v19.4s \n" \
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"fabs v20.4s, v20.4s \n" \
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"fabs v21.4s, v21.4s \n" \
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"fabs v22.4s, v22.4s \n" \
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"fabs v23.4s, v23.4s \n" \
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"fabs v24.4s, v24.4s \n" \
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"fabs v25.4s, v25.4s \n" \
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"fmax v2.4s, v2.4s, v3.4s \n" \
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"fmax v4.4s, v4.4s, v5.4s \n" \
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"fmax v6.4s, v6.4s, v7.4s \n" \
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"fmax v16.4s, v16.4s, v17.4s \n" \
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"fmax v18.4s, v18.4s, v19.4s \n" \
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"fmax v20.4s, v20.4s, v21.4s \n" \
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"fmax v22.4s, v22.4s, v23.4s \n" \
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"fmax v24.4s, v24.4s, v25.4s \n" \
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"PRFM PLDL1KEEP, ["X", #1024] \n" \
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"PRFM PLDL1KEEP, ["X", #1024+64] \n" \
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"PRFM PLDL1KEEP, ["X", #1024+128] \n" \
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"PRFM PLDL1KEEP, ["X", #1024+192] \n" \
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"fmax v2.4s, v2.4s, v4.4s \n" \
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"fmax v6.4s, v6.4s, v16.4s \n" \
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"fmax v18.4s, v18.4s, v20.4s \n" \
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"fmax v22.4s, v22.4s, v24.4s \n" \
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"fmax v2.4s, v2.4s, v6.4s \n" \
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"fmax v18.4s, v18.4s, v22.4s \n" \
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"fmax v2.4s, v2.4s, v18.4s \n" \
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"fmaxv "TMPF0", v2.4s \n" \
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"fcmp "MAXF", "TMPF0" \n" \
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"fcsel "MAXF", "MAXF", "TMPF0", ge \n" \
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"csel "INDEX", "INDEX", "Z", ge \n" \
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"add "Z", "Z", #"N_KERNEL_SIZE" \n"
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#else
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#define KERNEL_F \
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"ldp q2, q3, ["X"] \n" \
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"ldp q4, q5, ["X", #32] \n" \
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"ldp q6, q7, ["X", #64] \n" \
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"ldp q16, q17, ["X", #96] \n" \
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"ldp q18, q19, ["X", #128] \n" \
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"ldp q20, q21, ["X", #160] \n" \
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"ldp q22, q23, ["X", #192] \n" \
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"ldp q24, q25, ["X", #224] \n" \
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"add "X", "X", #256 \n" \
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"fabs v2.2d, v2.2d \n" \
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"fabs v3.2d, v3.2d \n" \
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"fabs v4.2d, v4.2d \n" \
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"fabs v5.2d, v5.2d \n" \
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"fabs v6.2d, v6.2d \n" \
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"fabs v7.2d, v7.2d \n" \
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"fabs v16.2d, v16.2d \n" \
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"fabs v17.2d, v17.2d \n" \
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"fabs v18.2d, v18.2d \n" \
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"fabs v19.2d, v19.2d \n" \
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"fabs v20.2d, v20.2d \n" \
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"fabs v21.2d, v21.2d \n" \
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"fabs v22.2d, v22.2d \n" \
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"fabs v23.2d, v23.2d \n" \
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"fabs v24.2d, v24.2d \n" \
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"fabs v25.2d, v25.2d \n" \
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"fmax v2.2d, v2.2d, v3.2d \n" \
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"fmax v4.2d, v4.2d, v5.2d \n" \
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"fmax v6.2d, v6.2d, v7.2d \n" \
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"fmax v16.2d, v16.2d, v17.2d \n" \
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"fmax v18.2d, v18.2d, v19.2d \n" \
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"fmax v20.2d, v20.2d, v21.2d \n" \
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"fmax v22.2d, v22.2d, v23.2d \n" \
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"fmax v24.2d, v24.2d, v25.2d \n" \
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"PRFM PLDL1KEEP, ["X", #1024] \n" \
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"PRFM PLDL1KEEP, ["X", #1024+64] \n" \
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"PRFM PLDL1KEEP, ["X", #1024+128] \n" \
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"PRFM PLDL1KEEP, ["X", #1024+192] \n" \
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"fmax v2.2d, v2.2d, v4.2d \n" \
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"fmax v6.2d, v6.2d, v16.2d \n" \
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"fmax v18.2d, v18.2d, v20.2d \n" \
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"fmax v22.2d, v22.2d, v24.2d \n" \
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"fmax v2.2d, v2.2d, v6.2d \n" \
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"fmax v18.2d, v18.2d, v22.2d \n" \
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"fmax v2.2d, v2.2d, v18.2d \n" \
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"ins v3.d[0], v2.d[1] \n" \
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"fmax "TMPF0", d3, d2 \n" \
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"fcmp "MAXF", "TMPF0" \n" \
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"fcsel "MAXF", "MAXF", "TMPF0", ge \n" \
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"csel "INDEX", "INDEX", "Z", ge \n" \
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"add "Z", "Z", #"N_KERNEL_SIZE" \n"
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#endif
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#define KERNEL_F_FINALIZE \
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"sub x6, "INDEX", #1 \n" \
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"lsl x6, x6, #"INC_SHIFT" \n" \
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"add x7, x7, x6 \n" \
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"mov x6, #0 \n" \
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"1: \n" \
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"add x6, x6, #1 \n" \
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"cmp x6, #"N_KERNEL_SIZE" \n" \
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"bge 2f \n" \
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"ldr "TMPF1", [x7] \n" \
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"fabs "TMPF1", "TMPF1" \n" \
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"fcmp "MAXF", "TMPF1" \n" \
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"add x7, x7, #"SZ" \n" \
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"bne 1b \n" \
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"2: \n" \
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"sub x6, x6, #1 \n" \
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"add "INDEX", "INDEX", x6 \n"
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#define INIT \
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"lsl "INC_X", "INC_X", #"INC_SHIFT" \n" \
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"ldr "MAXF", ["X"] \n" \
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"add "X", "X", "INC_X" \n" \
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"mov "Z", #1 \n" \
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"mov "INDEX", "Z" \n" \
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"fabs "MAXF", "MAXF" \n"
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#define KERNEL_S1 \
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"ldr "TMPF0", ["X"] \n" \
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"add "X", "X", "INC_X" \n" \
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"add "Z", "Z", #1 \n" \
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"fabs "TMPF0", "TMPF0" \n" \
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"fcmp "MAXF", "TMPF0" \n" \
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"fcsel "MAXF", "MAXF", "TMPF0", ge \n" \
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"csel "INDEX", "INDEX", "Z", ge \n"
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#if defined(SMP)
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extern int blas_level1_thread_with_return_value(int mode, BLASLONG m, BLASLONG n,
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BLASLONG k, void *alpha, void *a, BLASLONG lda, void *b, BLASLONG ldb,
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void *c, BLASLONG ldc, int (*function)(), int nthreads);
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#endif
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static BLASLONG __attribute__((noinline)) iamax_compute(BLASLONG n, FLOAT *x, BLASLONG inc_x)
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{
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BLASLONG index = 0;
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if ( n < 0 ) return index;
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__asm__ __volatile__ (
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" mov "N", %[N_] \n"
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" mov "X", %[X_] \n"
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" mov "INC_X", %[INCX_] \n"
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" cmp "N", xzr \n"
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" ble 10f //iamax_kernel_zero \n"
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" cmp "INC_X", xzr \n"
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" ble 10f //iamax_kernel_zero \n"
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" cmp "INC_X", #1 \n"
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" bne 5f //iamax_kernel_S_BEGIN \n"
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" mov x7, "X" \n"
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"1: //iamax_kernel_F_BEGIN: \n"
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" "INIT" \n"
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" subs "N", "N", #1 \n"
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" ble 9f //iamax_kernel_L999 \n"
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" asr "J", "N", #"N_DIV_SHIFT" \n"
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" cmp "J", xzr \n"
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" beq 3f //iamax_kernel_F1 \n"
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" add "Z", "Z", #1 \n"
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"2: //iamax_kernel_F: \n"
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" "KERNEL_F" \n"
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" subs "J", "J", #1 \n"
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" bne 2b //iamax_kernel_F \n"
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" "KERNEL_F_FINALIZE" \n"
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" sub "Z", "Z", #1 \n"
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"3: //iamax_kernel_F1: \n"
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" ands "J", "N", #"N_REM_MASK" \n"
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" ble 9f //iamax_kernel_L999 \n"
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"4: //iamax_kernel_F10: \n"
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" "KERNEL_S1" \n"
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" subs "J", "J", #1 \n"
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" bne 4b //iamax_kernel_F10 \n"
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" b 9f //iamax_kernel_L999 \n"
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"5: //iamax_kernel_S_BEGIN: \n"
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" "INIT" \n"
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" subs "N", "N", #1 \n"
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" ble 9f //iamax_kernel_L999 \n"
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" asr "J", "N", #2 \n"
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" cmp "J", xzr \n"
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" ble 7f //iamax_kernel_S1 \n"
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"6: //iamax_kernel_S4: \n"
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" "KERNEL_S1" \n"
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" "KERNEL_S1" \n"
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" "KERNEL_S1" \n"
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" "KERNEL_S1" \n"
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" subs "J", "J", #1 \n"
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" bne 6b //iamax_kernel_S4 \n"
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"7: //iamax_kernel_S1: \n"
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" ands "J", "N", #3 \n"
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" ble 9f //iamax_kernel_L999 \n"
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"8: //iamax_kernel_S10: \n"
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" "KERNEL_S1" \n"
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" subs "J", "J", #1 \n"
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" bne 8b //iamax_kernel_S10 \n"
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"9: //iamax_kernel_L999: \n"
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" mov x0, "INDEX" \n"
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" b 11f //iamax_kernel_DONE \n"
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"10: //iamax_kernel_zero: \n"
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" mov x0, xzr \n"
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"11: //iamax_kernel_DONE: \n"
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" mov %[INDEX_], "INDEX" \n"
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: [INDEX_] "=r" (index) //%0
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: [N_] "r" (n), //%1
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[X_] "r" (x), //%2
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[INCX_] "r" (inc_x) //%3
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: "cc",
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"memory",
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"x0", "x1", "x2", "x3", "x4", "x5", "x6", "x7",
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"d0", "d1", "d2", "d3", "d4", "d5", "d6", "d7"
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);
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return index;
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}
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#if defined(SMP)
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static int iamax_thread_function(BLASLONG n, BLASLONG dummy0,
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BLASLONG dummy1, FLOAT dummy2, FLOAT *x, BLASLONG inc_x, FLOAT *y,
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BLASLONG inc_y, FLOAT *result, BLASLONG dummy3)
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{
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*(BLASLONG *)result = iamax_compute(n, x, inc_x);
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return 0;
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}
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#endif
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BLASLONG CNAME(BLASLONG n, FLOAT *x, BLASLONG inc_x)
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{
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#if defined(SMP)
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int nthreads;
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FLOAT dummy_alpha;
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#endif
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BLASLONG max_index = 0;
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#if defined(SMP)
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if (inc_x == 0 || n <= 10000)
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nthreads = 1;
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else
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nthreads = num_cpu_avail(1);
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if (nthreads == 1) {
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max_index = iamax_compute(n, x, inc_x);
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} else {
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BLASLONG i, width, cur_index;
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int num_cpu;
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int mode;
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char result[MAX_CPU_NUMBER * sizeof(double) * 2];
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FLOAT max = -1.0;
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#if !defined(DOUBLE)
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mode = BLAS_SINGLE;
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#else
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mode = BLAS_DOUBLE;
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#endif
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blas_level1_thread_with_return_value(mode, n, 0, 0, &dummy_alpha,
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x, inc_x, NULL, 0, result, 0,
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( void *)iamax_thread_function, nthreads);
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num_cpu = 0;
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i = n;
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cur_index = 0;
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while (i > 0) {
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FLOAT elem;
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BLASLONG cur_max_index;
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cur_max_index = *(BLASLONG *)&result[num_cpu * sizeof(double) * 2];
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elem = x[((cur_index + cur_max_index - 1) * inc_x)];
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elem = fabs(elem);
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if (elem >= max) {
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max = elem;
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max_index = cur_index + cur_max_index;
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}
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width = blas_quickdivide(i + nthreads - num_cpu - 1,
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nthreads - num_cpu);
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i -= width;
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cur_index += width;
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num_cpu ++;
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}
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}
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#else
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max_index = iamax_compute(n, x, inc_x);
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#endif
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return max_index;
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}
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